I don't think there's anything special about Cenci's, I'm sorry to say. Groupon brought me here twice during the last few months, but a meal here is not a mistake I'm willing to make a third time.
I'm sure I'm not the only one who thinks that even below-average pizza is good/decent pizza, or at least I had that mindset before I came to Cenci's. The pizza here is pretty awful--commercial spongy crust, presumably inexpensive and greasy cheese, you get the idea. And it's not even that cheap, particularly if you want to get a little creative and add toppings or do the build-your-own thing. Unfortunately I had pizza both times I came here because I wanted to give the pizza a second try and the rest of the average bar food menu didn't exactly call my name.
Service during my experiences was OK, as were the White Russians. The place hasn't much personality, and the clientele is diverse.